Mechanics of Materials 2 (Fundamental Mechanical Engineering Course)

Course title

A0005000

Course description

When designing mechanical structures, it is required not only to fulfill their functions, but also to have sufficient strength so that they can be used safely without damage. On the other hand, excessive strength not only increases the cost of mechanical structures, but also increases their weight and reduces efficiency. In Mechanics of Materials 2, based on the knowledge acquired in Mechanics of Materials 1, we will derive torsional deformation when a torsional moment (torque) acts on basic structural members and explain allowable torque. We will also explain stress transformation, principal stress, etc. on a two-dimensional plane that is subject to various stresses. Furthermore, we will explain the deformation and buckling of beams subjected to tension, compression, torsion, and bending.

Purpose of class

The purpose of this lecture is to understand the theory and methods of basic deformation analysis and stress analysis of members and structures. The purpose is also to develop the ability to model complex structures into simple structures that can be solved using material mechanics.

Goals and objectives

Be able to correctly understand, analyze, and explain the deformation and stress of a round bar subjected to torsional moments.
Be able to correctly understand, analyze, and explain stress transformation, principal stresses, and principal axes in two-dimensional stress problems.
Be able to correctly understand, analyze, and explain deformation analysis of structures subjected to tension, compression, torsion, and bending.
Be able to correctly understand, analyze, and explain Castigliano's theorem.
Be able to correctly understand, analyze, and explain buckling of long columns.

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Quiz	Midterm exam	Final exam	Total.
1.	4%	8%	8%	20%
2.	4%	8%	8%	20%
3.	4%	8%	8%	20%
4.	4%	8%	8%	20%
5.	4%	8%	8%	20%
Total.	20%	40%	40%	-

Evaluation method and criteria

Quiz: 20%
Midterm examination: 40%
Final examination: 40%
At least 60 % is needed to pass.

Language

Japanese

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	guidance ・Review of tension and compression problems learned in Mechanics of Materials 1 ・Review of bending problems learned in Mechanics of Materials 1	Review of the class and exercise.	190minutes
2.	Twisting a round bar 1 ・Torsional torque and shear stress ・Relationship between shear stress and shear strain	Review of the class and exercise.	190minutes
3.	Twisting a round bar 2 ・Torsion angle and specific torsion angle ・Torsional deformation	Review of the class and exercise.	190minutes
4.	Twisting a round bar 3 ・Torsional deformation (statically indeterminate problem) Strain energy method ・Strain energy in cantilever, bar and so on	Review of the class and exercise.	190minutes
5.	Strain energy method ・Complimentary energy ・Castigliano's theorem	Review of the class and exercise.	190minutes
6.	Strain energy method ・Analysis of curved beam ・Castigliano's theorem	Review of the class and exercise.	190minutes
7.	Midterm exam and commentary ・Evaluate understanding of torsional deformation analysis and the strain energy method ・After the exam, answer explanation for the examination	Review of the class and exercise.	190minutes
8.	Strain energy method ・Analysis of various beam and rahmen ・Castigliano's theorem	Review of the class and exercise.	190minutes
9.	Two-dimensional stress and strain 1 ・2D and 3D stress components ・Generalized Hooke's Law ・Stress conversion	Review of the class and exercise.	190minutes
10.	Two-dimensional stress and strain 2 ・Principal stress and principal axis ・Maximum shear stress ・Mohr's stress circle	Review of the class and exercise.	190minutes
11.	Combined stresses in a bar subjected to multiaxial stresses ・Analysis of thin-walled structures ・Stress of a bar subjected to multiaxial stress	Review of the class and exercise.	190minutes
12.	Buckling of long columns 1 ・Euler buckling load ・Usage limit stress of long column	Review of the class and exercise.	190minutes
13.	Buckling of long columns 2 ・Euler buckling load ・Usage limit stress of long column	Review of the class and exercise.	190minutes
14.	Final exam and explanation ・Evaluate understanding of deformation analysis of beams subjected to tension, compression, torsion, and bending, stress analysis ・After the exam, answer explanation for the examination	Review of the class and exercise.	190minutes
Total.	-	-	2660minutes

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in the class

Textbooks and reference materials

Japanese textbook
坂上賢一著，材料力学
Reference book
村上敬宜・森和也著，材料力学演習，森北出版ISBN978-4-627-60710-1
村上敬宜著，材料力学，森北出版ISBN978-4-627-60510-7

Prerequisites

Taking class "mechanics of materials 1"

Office hours and How to contact professors for questions

After class in Omiya campus

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge
Course that cultivates a basic self-management skills

Active-learning course

More than one class is interactive

Course by professor with work experience

Work experience	Work experience and relevance to the course content if applicable
Applicable	The professor who had worked in a machinery company teaches the way to sovle the problems and the modeling method based on Mechanics of Materials from the first class to the sixth class.

Education related SDGs:the Sustainable Development Goals

9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
12.RESPONSIBLE CONSUMPTION & PRODUCTION

Last modified : Sat May 17 04:03:46 JST 2025